University of MD University College
Dr. Ahmed Mohamed
Finite Mathematics
–
Math 106
Fall
2017
Quiz # 2
(100 pts)
(
Show all your work
to get full credit
.
1.
(
20 pts)
Find the equation of the
line in slope
-
intercept form with the given information.
a. Containing the
points
)
18
,
4
(
and
)
3
,
1
(
-
.
b.
Slope =
7
6
; y
-
intercept is
)
6
,
0
(
-
.
2.
(
20 pts)
Solve each inequality, and graph
the solution set on a number line.
a.
)
2
(
)
1
(
4
4
-
-
>
-
+
-
x
x
x
b.
0
6
6
12
<
+
£
-
x
3.
(
20 pts)
Solve each equation.
a.
)
6
1
(
2
2
)
6
4
(
4
x
x
+
-
-
=
+
b.
x
x
x
3
)
8
(
5
)
2
(
2
-
-
=
-
-
4
.
(20 pts)
A carpenter is building a shelving system and cuts a 14
-
foot long
of cherry, shelving
into three pieces. The second piece is twice as long as the first, and the third piece is 2 feet
longer than the first. Find the length of each piece of cherry shelving.
5.
(20 pts)
The perimeter of a rectangle is P = 32 feet. If the
length is three times of that of the
width, what are the dimensions of the rectangle?
University of MD University College Dr. Ahmed Mohamed
Finite Mathematics – Math 106 Fall 2017
Quiz # 2 (100 pts)
(Show all your work to get full credit.
1. (20 pts) Find the equation of the line in slope-intercept form with the given information.
a. Containing the points )18,4( and )3,1(.
b. Slope =
7
6
; y-intercept is )6,0(.
2. (20 pts) Solve each inequality, and graph the solution set on a number line.
a. )2()1(44xxx
b. 06612x
3. (20 pts) Solve each equation.
a. )61(22)64(4xx
b. xxx3)8(5)2(2
4. (20 pts) A carpenter is building a shelving system and cuts a 14-foot long of cherry, shelving
into three pieces. The second piece is twice as long as the first, and the third piece is 2 feet
longer than the first. Find the length of each piece of cherry shelving.
5. (20 pts) The perimeter of a rectangle is P = 32 feet. If the length is three times of that of the
width, what are the dimensions of the rectangle?
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UMUCQ2-Math106Fall17.docx
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